News:

The repeat (oral) examination will be on September 25. You can register in TUMonline from September 1 - 15.

Until 7.7. there is a doodle poll for date of the examination (which, if it is oral, will have to be in the week around July 15th). If you have signed up for the examination, you should have received an email with the link to the poll.

Content:

We will follow a direct approach to differential topology and to many of its applications without requiring and exploiting the abstract machinery of algebraic topology. The course will cover immersion, submersions and embeddings of manifolds in Euclidean space (including the basic results by Sard and Whitney), a discussion of the Euler number and winding numbers, fixed point theorems, the Borsuk-Ulam theorem and respective applications.
At the end of the course, students should be able to analyse topological problems from a differentiable viewpoint and to see differential problems from a topological perspective.